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Finding the Fourth Proportional to 499.55, 697.75 and 499.55

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Solution

The fourth proportional to 499.55, 697.75 and 499.55 is: 697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.55 : 697.75 = 499.55 : x
  2. Step 2: Convert to fraction form
    499.55/697.75 = 499.55/x
  3. Step 3: Cross multiply
    499.55x = 697.75 × 499.55
  4. Step 4: Simplify right side
    499.55x = 348,561.01
  5. Step 5: Solve for x
    x = 348,561.01/499.55
  6. Step 6: Final answer
    x = 697.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.